Nonlinear Leggett-Rice effect in spin polarised solid3He

Spin-Current Relaxation Time in Spin-Polarized Heisenberg Paramagnets

“…Next we compare our numerical results to the moments method calculations of Cowan and Mullin et al [2][3][4]13 , who considered a nearest-neighbor pair exchange Hamiltonian to describe the quantum spin-1/2 dynamics of paramagnetic 3 He in its hcp phase, with a nearest-neighbor pair exchange Hamiltonian. Using a Gaussian ansatz for the second derivative they found, for arbitrary polarization, D ∝ [G ′′ q (0)] 3/2 /[G iv q (0)] 1/2 , which diverges like (1 − P 2 ) −1/2 as P → 1.…”